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On the Lebesgue measure of sum-level sets for Lüroth expansion

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Publication:601317
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DOI10.1016/J.JMAA.2010.08.047zbMath1204.11130OpenAlexW2026107674MaRDI QIDQ601317

Sikui Wang, Jian Xu

Publication date: 4 November 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.08.047


zbMATH Keywords

Lebesgue measureLüroth expansionLüroth mapsum-level set


Mathematics Subject Classification ID

Metric theory of other algorithms and expansions; measure and Hausdorff dimension (11K55)


Related Items (4)

Approximation properties of Lüroth expansions ⋮ Dimension theory of the product of partial quotients in Lüroth expansions ⋮ The efficiency of approximating real numbers by Lüroth expansion ⋮ EXACT DIMENSIONS OF EXCEPTIONAL SETS IN LÜROTH EXPANSIONS




Cites Work

  • On approximation by Lüroth series
  • Homology at infinity; fractal geometry of limiting symbols for modular subgroups
  • On the error-sum function of Lüroth series
  • Frequency of digits in the Lüroth expansion
  • Representations of real numbers by infinite series
  • Ergodic properties of generalized Lüroth series
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